How to find Pearsonian's Coefficient of Kurtosis (γ₂) for a distribution?

Question:

Find Pearsonian's Coefficient of Kurtosis (γ₂) for a distribution when μ₂ = 16 and μ₄ = 1024.

Step 1: Find β₂

β₂ = μ₄ / μ₂²

∴ β₂ = 1024 / 16²

∴ β₂ = 1024 / 256

∴ β₂ = 4

Step 2: Find Pearsonian's Coefficient of Kurtosis (γ₂)

γ₂ = β₂ - 3

∴ γ₂ = 4 - 3

∴ γ₂ = 1

∵ γ₂ > 0, we can say that the distribution is leptokutic.

Pearsonian's Coefficient of Kurtosis (γ₂) is 1 for a distribution when μ₂ = 16 and μ₄ = 1024.